1905–1930: The Golden Age of Physics
Abstract
The synthesis of classical mechanics, of the Coulomb law of electrostatics and of the condition of angular momentum quantization, later replaced by the mathematically equivalent de Broglie wavelength expression, led a century ago to the rotating electron Bohr model of the H atom. This model provided a very successful description of all previous related spectroscopic data. In subsequent decades both the classical mechanical part of the model and thus unavoidably also the de Broglie wavelength expression part were replaced in the Schrödinger formalism by the electron wavefunction, although the results of this probabilistic quantum mechanical formulation were in excellent agreement with those of the classical deterministic Bohr or Bohr-Sommerfeld models. What is the equivalent deterministic Bohr-type rotating particle model combining classical mechanics, generalized perhaps to include special relativity, gravitational attraction in addition to, or rather than, Coulombic attraction and the de Broglie wavelength expression? To what physical problem such a model corresponds to? This is the question presented and analyzed in this book. The result is surprising and fascinating. When examining three rotating particles with the mass of a neutrino each, then, one finds without any adjustable parameters, that the corresponding rotational states correspond to a neutron. The rotating relativistic neutrinos act as quarks and the action of the relativistic gravitational attraction is equivalent to the action of gluons. Agreement with experiment is at least semiquantitative.
References
- 1.Einstein A (1905) Zür Elektrodynamik bewegter Körper. Ann der Physik Bd. XVII, S. 17:891–921; English translation On the Electrodynamics of Moving Bodies (\url{http://fourmilab.ch/etexts/einstein/specrel/www/}) by G.B. Jeffery and W. Perrett (1923)
- 2.Bohr N (1913) On the constitution of atoms and molecules. Part I Philos Mag 26:1–25CrossRefGoogle Scholar
- 3.De Broglie L (1923) Waves and quanta. Nature 112:540CrossRefGoogle Scholar
- 4.Schrödinger E (1926) Naturwissenschaften 14:664CrossRefGoogle Scholar
- 5.Schrödinger E (1928) Collected papers on wave mechanics. Blackie & Son, London, p 41Google Scholar
- 6.Schwarz PM, Schwarz JH (2004) Special relativity: from einstein to strings. Cambridge University Press, CambridgeCrossRefGoogle Scholar
- 7.Fukuda Y et al (1998) Phys Rev Lett 81:1562–1567CrossRefGoogle Scholar
- 8.Mohapatra RN et al (2007) Rep Prog Phys 70:1757–1867CrossRefGoogle Scholar
- 9.Collision course (2011) What will scientists do if they fail to find the Higgs boson? Nature 479:6Google Scholar
- 10.Wheeler JA (1955) Phys Rev 97(2):511CrossRefGoogle Scholar
- 11.Rovelli C (2004) Quantum gravity. Cambridge University Press, CambridgeCrossRefGoogle Scholar
- 12.Karamanolis S (1992) Albert Einstein für Anfänger, Elektra Verlags-GmbH, MünchenGoogle Scholar
- 13.Einstein A (1916) Die Grundlagen der allgemeinen Relativitätstheorie. Ann der Physik Bd. XLIX, S. 769–822Google Scholar
- 14.Serway RA, Jewett JW (2009) Physics for scientists and engineers. Modern Physics, Brooks/ Cole Publ Co, Pacific Grove, California, USAGoogle Scholar
- 15.Sommerfeld A (1930) Atomic structure and spectral lines. MethuenGoogle Scholar
- 16.Born M (1969) Atomic physics. R. and R. Clark, Edinburgh (English edition)Google Scholar
- 17.t’ Hooft G (1997) Quantum mechanical behaviour in a deterministic model. Found Phys Lett 10:105–111Google Scholar
- 18.t’ Hooft G (1999) Quantum gravity as a dissipative deterministic system. Class Quantum Grav 16:3263–3279Google Scholar
- 19.t’ Hooft G (2005) In: Elitzur A et al (eds.) Determinism beneath Quantum Mechanics, Quo Vadis Quantum Mechanics, The Frontiers Collection. Springer, Berlin. ISBN 1612–3018, pp 99–111; quant-ph/0212095Google Scholar
- 20.t’ Hooft G (2005) Does God play dice? Phys World 18(12)Google Scholar
- 21.French AP (1968) Special relativity. W. W. Norton and Co., New YorkGoogle Scholar
- 22.Freund J (2008) Special relativity for beginners. World Scientific Publishing, SingaporeCrossRefGoogle Scholar
- 23.Vayenas CG, Souentie S (2011) arXiv:1106.1525v2 [physics.gen-ph]Google Scholar